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Quiz: Speed Time and Distance

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Number of Questions: 25

Question: 16 -

A car moving with6⁄9 of its actual speed covers 50 km in 1 hour 40 min. What is the actual speed of the car?

Options:

  1. 65 km/hr

  2. 70 km/hr

  3. 80 km/hr

  4. 45 km/hr

    5. Answer:

    45 km/hr
    Solution:

    Let the actual speed of the car = X km/hr

     

    ∴ the car is moving at X *6⁄9km/hr

     

    Distance = 50 km

     

    Time taken to cover 50 km= 1 hour 40 minutes →1+40⁄60= 5/3 hrs

     

    Distance = Speed x Time

     

    50 = X *6⁄9*5⁄3

    Apti Speed time and distance28.

Question: 17 -

The ratio between the speeds of a bus and car is 8:6. If the car travels 200 km in 2 hours, find the speed of the bus.

Options:

  1. 137.3 km/hr

  2. 131.3 km/hr

  3. 135.3 km/hr

  4. 133.3 km/hr

    5. Answer:

    133.3 km/hr
    Solution:

    Let the speed of bus and car is 8X and 6X.

    Apti Speed time and distance24

    Speed of car=200⁄2→100 km/hr

    So, 6X= 100

    X=100⁄6→ (50 )/3 km/hr

    Speed of bus= 8X → 8 *50⁄3=400⁄3= 133.3 km/hr

Question: 18 -

A man can swim at 10 km/hr in still water. It takes him twice as much time to reach the destination when he swims up the river as it takes when he swims down the river. At what speed the river is flowing?

Options:

  1. 10⁄3 km/hr

  2. 8⁄2km/hr

  3. 10⁄5 km/hr

  4. 11⁄7km/hr

    5. Answer:

    10⁄3 km/hr
    Solution:

    Let the speed of the river = X km/hr

    So, speed of man with the flow (downward speed) = 10 + X

    Similarly speed of man against the flow (upward speed) = 10 - X

    Let the man covers a distance Y.

    So time taken to cover the distance Y when he swims up the river would be double of the time taken to cover the distance Y when he swims down the river.

    Apti Speed time and distance32

    So, Y⁄10-X = 2 *Y⁄10+X

    10Y + XY = 20Y -2XY

    XY + 2XY = 20Y - 10 Y

    3XY= 10Y

    3X =10Y⁄Y

    3X = 10

    X =10⁄3km/hr

Question: 19 -

A man travels first 150 km of his journey at 80 km/hr. Due to bad weather he travels the next 150 km of his journey at 60 km/hr. What is his average speed for the first 300 km of his journey?

Options:

  1. 68.6 km/hr

  2. 66.6 km/hr

  3. 63.6 km/hr

  4. 60.6 km/hr

    5. Answer:

    68.6 km/hr
    Solution:

    Apti Speed time and distance25

    Total distance = 300 km

    The total time taken to cover the first 300 km is the sum of the time taken to cover the first 150 km and the next 150 km.

    Apti Speed time and distance26

Question: 20 -

The circumference of a jogging track is 735 m. Peter and Tom start walking from the same point at the same time in opposite direction. If they are walking at 6 km/hr and 8 km/hr respectively, after how much time they will meet?

Options:

  1. 4 minutes

  2. 3 minutes

  3. 3.15 minutes

  4. 3.12 minutes

    5. Answer:

    3.15 minutes
    Solution:

    Let both of them meet after time T

    Distance travelled by Peter = Speed x Time

    Apti Speed time and distance29

    Distance travelled by Tom = Speed x Time

    Apti Speed time and distance30

    Now, the sum of the distances covered by them would be equal to the circumference of the track.

    Apti Speed time and distance31

    35 T = 735 * 9

    35 T = 6615

    T =6615⁄35= 189 seconds

    Time in minutes =189⁄60 = 3.15 minutes